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Simplifying W(w + 3) + 104 = 2(w + 3)(w + -1) Reorder the terms: W(3 + w) + 104 = 2(w + 3)(w + -1) (3 * W + w * W) + 104 = 2(w + 3)(w + -1) (3W + wW) + 104 = 2(w + 3)(w + -1) Reorder the terms: 104 + 3W + wW = 2(w + 3)(w + -1) Reorder the terms: 104 + 3W + wW = 2(3 + w)(w + -1) Reorder the terms: 104 + 3W + wW = 2(3 + w)(-1 + w) Multiply (3 + w) * (-1 + w) 104 + 3W + wW = 2(3(-1 + w) + w(-1 + w)) 104 + 3W + wW = 2((-1 * 3 + w * 3) + w(-1 + w)) 104 + 3W + wW = 2((-3 + 3w) + w(-1 + w)) 104 + 3W + wW = 2(-3 + 3w + (-1 * w + w * w)) 104 + 3W + wW = 2(-3 + 3w + (-1w + w2)) Combine like terms: 3w + -1w = 2w 104 + 3W + wW = 2(-3 + 2w + w2) 104 + 3W + wW = (-3 * 2 + 2w * 2 + w2 * 2) 104 + 3W + wW = (-6 + 4w + 2w2) Solving 104 + 3W + wW = -6 + 4w + 2w2 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-104' to each side of the equation. 104 + 3W + -104 + wW = -6 + 4w + -104 + 2w2 Reorder the terms: 104 + -104 + 3W + wW = -6 + 4w + -104 + 2w2 Combine like terms: 104 + -104 = 0 0 + 3W + wW = -6 + 4w + -104 + 2w2 3W + wW = -6 + 4w + -104 + 2w2 Reorder the terms: 3W + wW = -6 + -104 + 4w + 2w2 Combine like terms: -6 + -104 = -110 3W + wW = -110 + 4w + 2w2 Reorder the terms: 110 + 3W + -4w + wW + -2w2 = -110 + 4w + 2w2 + 110 + -4w + -2w2 Reorder the terms: 110 + 3W + -4w + wW + -2w2 = -110 + 110 + 4w + -4w + 2w2 + -2w2 Combine like terms: -110 + 110 = 0 110 + 3W + -4w + wW + -2w2 = 0 + 4w + -4w + 2w2 + -2w2 110 + 3W + -4w + wW + -2w2 = 4w + -4w + 2w2 + -2w2 Combine like terms: 4w + -4w = 0 110 + 3W + -4w + wW + -2w2 = 0 + 2w2 + -2w2 110 + 3W + -4w + wW + -2w2 = 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 110 + 3W + -4w + wW + -2w2 = 0 The solution to this equation could not be determined.
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